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Memorial stele on a compact spherical support: design-and-engineering solutions, design-basis justification 纪念碑上的一个紧凑的球形支撑:设计和工程解决方案,设计基础的理由
Pub Date : 2022-05-23 DOI: 10.22363/1815-5235-2022-18-1-73-88
Dmitrii V. Petrov, Aleksandr G. Yudov, V. V. Dotsenko, O. Zhabunina, Egor V. Kalaturov, Nadezhda M. Natynchik, A. Abramov, M. V. Nikulshin
The article presents the design of the architectural and artistic composition “Memorial stele on a local spherical support” (KB-1 Stele), as well as the analysis of design solutions and the calculated justification of the strength and stability of the KB-1 Stele to external influences in conditions of the most intense climatic influences with parameters set according to building codes and regulations. The design of the KB-1 Stele is a vertically installed overall mass model of a peaceful nuclear explosive device weighing 2.8 tons and 2.8 meters high with hemispherical covers. In accordance with the terms of reference, it was required to preserve the appearance of the device as accurately as possible by placing it on a small local support. The peculiarity of the design lies in its angular mobility relative to the support. To ensure a stable equilibrium state of the stele, a hinge is organized at the place of support, the stele is installed freely by the lower sphere on an intermediate stand with a specially selected spherical surface. Additionally, the center of mass of the stele is significantly reduced by lightening (thinning the walls) of the upper part of the body and installing additional cargo in its lower part. As a result, under the action of external lateral loads, the stele acquires a stable position with possible fluctuations in the tumbler type and with a return to its original state. Analytical and numerical computational studies were performed to substantiate the strength and stability of the KB-1 Stele under external loads. It is shown that the developed design meets the regulatory requirements and is safe in operation.
本文介绍了建筑艺术构成“局部球形支撑碑”(KB-1碑)的设计,以及在最强烈的气候影响条件下,根据建筑规范和法规设置参数,对KB-1碑的强度和稳定性进行了设计方案分析和计算论证。KB-1“石碑”的设计是一个重2.8吨、高2.8米、半球形盖的垂直安装的和平核爆炸装置整体质量模型。根据职权范围,需要尽可能准确地保存装置的外观,将其放置在一个小的局部支架上。这种设计的特点在于它相对于支座的角可动性。为了保证石碑的稳定平衡状态,在支撑处设有铰链,石碑由下球体自由安装在一个特别选定球面的中间支架上。此外,石碑的质量中心通过减轻(减薄墙壁)上部的身体和安装额外的货物在其下部显著减少。因此,在外部侧向荷载的作用下,石碑获得了一个稳定的位置,可能会出现波动,并恢复到原来的状态。进行了分析和数值计算研究,以证实KB-1石碑在外部载荷下的强度和稳定性。试验结果表明,该设计符合规定要求,运行安全。
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引用次数: 0
Bulking of physically nonlinear plates under the action of dynamic shearing loads 物理非线性板在动剪切荷载作用下的膨胀
Pub Date : 2022-05-23 DOI: 10.22363/1815-5235-2022-18-1-3-10
Sergey Ivanov
The study of the stability of plates under shear under the action of dynamic loads is one of the important problems of structural mechanics. The plates are widely used in construction, mechanical engineering, shipbuilding and aircraft building. The paper presents a method for calculating plates for shear buckling, taking into account the physical nonlinearity of the material. A plate is considered under the action of a shearing dynamic load along the edges. The calculation is based on the Kirchhoff - Love hypotheses and the hypothesis of a non-linear elastic body. The plate material is assumed to be physically nonlinear. The deformation diagram is approximated as a cubic polynomial. The deflection of the plate points is determined in the form of Vlasov - Kantorovich expansions. Basic non-linear differential equations are derived using the energy method. Lagrange’s equations are used to obtain the resolving equations for plate buckling. On the basis of the developed technique, a calculation was made for the stability of a physically nonlinear square plate under the action of a shear dynamic load. The edges of the plate are hinged. The finite system of nonlinear differential equations is integrated numerically by the Runge - Kutta method. Based on the results of calculations, plots of the dependence of the relative value of the deflection of the central point of the plate on the dynamic coefficient Kd (with and without taking into account the physical nonlinearity of the material) are plotted. The influence of the degree of physical nonlinearity of the material, the parameter of the rate of change of the shear load on the criteria for the dynamic stability of a square plate is studied.
板在动载荷作用下的剪切稳定性研究是结构力学的重要问题之一。该板材广泛应用于建筑、机械工程、造船和飞机制造。本文提出了一种考虑材料物理非线性的剪切屈曲板的计算方法。考虑了在沿边缘的剪切动载荷作用下的板。该计算基于基尔霍夫-洛夫假设和非线性弹性体假设。假定板材在物理上是非线性的。变形图近似为三次多项式。板点的偏转是以弗拉索夫-坎托罗维奇展开的形式确定的。利用能量法导出了基本的非线性微分方程。利用拉格朗日方程得到了板屈曲的解析方程。在此基础上,对物理非线性方板在剪切动载荷作用下的稳定性进行了计算。这块板的边缘是铰接的。采用龙格-库塔方法对非线性微分方程组进行了数值积分。根据计算结果,绘制了板中心点的挠度相对值与动力系数Kd的关系图(考虑和不考虑材料的物理非线性)。研究了材料的物理非线性程度、剪切载荷变化率参数对方形板动力稳定性判据的影响。
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引用次数: 0
The theory of calculation of reinforced concrete structures and the principles of the Eurocode 钢筋混凝土结构的计算理论和欧洲规范的原则
Pub Date : 2021-12-30 DOI: 10.22363/1815-5235-2021-17-5-455-465
Rudolf S. Sanzharovskiy, F. Sieber, T. Ter-Emmanuilyan
The theory of calculating reinforced concrete is analyzed. As we known reinforced concrete with enormous volumes of application and huge financial costs, due to the great complexity of its nonlinear properties, has a surprisingly unscientific theory of calculation, consisting of two parts: short-term and longterm loading. The work of a number of round tables was devoted to the problem of errors in the theory of calculating reinforced concrete. The round tables held at the Peoples Friendship University of Russia (RUDN University) on the initiative and under the guidance of famous scientists: V.M. Bondarenko, S.N. Krivoshapko, V.V. Galishnikova (the last one took place in 2020) with a large number of participants of authoritative scientists from Russia and other countries. It is shown that the theory of calculation of reinforced concrete structures, which are widely used (with long-term loading all over the world), includes five inconsistent (among them erroneous) theories, the essence of which and one postulate are set further. Using the rules of mathematics, the principles of mechanics and the results of solid experiments, it was revealed that the analyzed theory contains a set of theories rejecting each other for various purposes, including erroneous ones.
分析了钢筋混凝土的计算理论。众所周知,钢筋混凝土具有巨大的应用规模和巨大的经济成本,由于其非线性特性的极大复杂性,其计算理论非常不科学,包括短期和长期荷载两部分。许多圆桌会议致力于解决钢筋混凝土计算理论中的误差问题。在著名科学家V.M.邦达连科、S.N.克里沃沙普科、V.V.加利什尼科娃等人的倡议和指导下,圆桌会议在俄罗斯人民友谊大学(RUDN大学)举行(最后一次会议于2020年举行),来自俄罗斯和其他国家的权威科学家参加了大量会议。结果表明,目前世界上广泛使用的钢筋混凝土结构(长期荷载)计算理论包括五种不一致的(其中有错误的)理论,并进一步提出了这些理论的本质和一个假设。利用数学规则、力学原理和固体实验的结果,揭示了所分析的理论包含了一组理论,这些理论出于各种目的而相互排斥,包括错误的。
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引用次数: 0
Diagnostics of thin-walled structures of complex geometry and structure 复杂几何和结构薄壁结构的诊断
Pub Date : 2021-12-30 DOI: 10.22363/1815-5235-2021-17-6-576-587
N. M. Yakupov, S. Yakupov
The main stages of the birth of thin-walled structures, changes in their relative thickness and mass of a unit area are given; ways of creating perfect thin-walled structures are indicated. The problems arising during the operation of thin-walled structures of complex geometry, as well as approaches and methods of their calculation are noted. To ensure trouble-free operation of a thin-walled structure with a thin-layer coating, under load and exposed to physical fields and environments, it is necessary to correctly diagnose the condition of structural elements. The spline variant of the finite element method in two-dimensional (SV FEM-2) and three-dimensional (SV FEM-3) productions is noted, as well as the synthesis of these variants - SV FEM-2 + SV FEM-3. The combination of the idea of parametrization of the entire domain and approximation of the desired variables within the element by Hermitian cubic splines makes it possible to obtain high-precision consistent finite elements. The developed variants of the finite element method make it possible to evaluate the stress-strain state of structures of complex geometry, including the calculation of multilayer, thin-walled structures with coating and local defects, as well as to take into account specific surface properties other than those of the main array. Studies of stress concentration near local depressions are considered. Two-dimensional experimental and theoretical methods are noted for evaluating the stiffness properties and adhesion of thin-walled, thin-layer and composite structural elements of complex structure, which, along with a distributed complex structure, may have distributed defects. The developments were used in solving specific tasks of a number of enterprises.
给出了薄壁结构产生的主要阶段、相对厚度和单位面积质量的变化;指出了创建完美薄壁结构的方法。介绍了复杂几何薄壁结构在运行过程中出现的问题,以及计算方法和途径。为了确保具有薄层涂层的薄壁结构在负载和暴露于物理场和环境下无故障运行,有必要正确诊断结构元件的状况。注意到有限元方法在二维(SV FEM-2)和三维(SV FEM-3)生成中的样条变体,以及这些变体的合成-SV FEM-2+SV FEM-3。整个域的参数化思想和通过埃尔米特三次样条逼近单元内所需变量的思想相结合,使得获得高精度一致有限元成为可能。有限元方法的发展变体使评估复杂几何结构的应力-应变状态成为可能,包括计算具有涂层和局部缺陷的多层薄壁结构,以及考虑主阵列以外的特定表面特性。考虑了局部凹陷附近应力集中的研究。指出了评估复杂结构的薄壁、薄层和复合材料结构元件的刚度特性和附着力的二维实验和理论方法,这些元件与分布式复杂结构一起可能具有分布式缺陷。这些发展被用于解决一些企业的具体任务。
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引用次数: 2
The economic feasibility of taking into account the joint work of load-bearing and enclosing elements in large-span wooden spatial structures 考虑大跨度木质空间结构承重与围护构件联合工作的经济可行性
Pub Date : 2021-12-30 DOI: 10.22363/1815-5235-2021-17-6-664-678
Konstantin P. Pyatikrestovsky, B. Sokolov
Large-span wooden spatial structures in the form of domes, developed in JSC Research Center of Construction under the leadership of A.A. Pogoreltsev, are built in large numbers for roofing various buildings. Such designs have high performance indicators and continue to improve. In 2020 the Manual on accounting for the joint work of the frame and fencing in wooden spatial structures of buildings and structures was developed as an addition to SP 64.13330.2017, containing examples of strength calculation and optimization of rib cross-section dimensions, as well as an example of determining the long-term strength of the shell cladding. These structures, in fact unique, are designed so far in the margin of safety without taking into account the participation of the enclosing part (panels, decking, etc.) in the bearing loads. Taking into account the work of the decking, especially when exposed to asymmetric loads, can lead to material savings. In addition to the above theory of nonlinear shell calculation, the authors have also developed a calculation of composite anisotropic panels operating under complex stress conditions, i.e. under biaxial compression (tension) and shear. The calculation of such structures under both short-term and long-term loads presents certain difficulties and requires the introduction of strength theories and criteria for their description that are unusual for specialists of design organizations.
在A.A. Pogoreltsev的领导下,JSC建筑研究中心开发了圆顶形式的大跨度木制空间结构,大量建造用于各种建筑的屋顶。这样的设计具有很高的性能指标,并在不断改进。2020年,作为SP 64.13330.2017的补充,制定了关于建筑物和结构的木制空间结构框架和围栏联合工作的手册,其中包含强度计算和肋截面尺寸优化的示例,以及确定壳包层长期强度的示例。这些结构实际上是独一无二的,迄今为止在设计安全边际时没有考虑到封闭部分(面板,甲板等)在承载载荷中的参与。考虑到甲板的工作,特别是当暴露在不对称载荷下时,可以节省材料。除了上述非线性壳计算理论外,作者还开发了复合材料各向异性板在复杂应力条件下的计算,即双轴压缩(拉伸)和剪切。这种结构在短期和长期载荷下的计算存在一定的困难,需要引入强度理论和标准来描述它们,这对于设计组织的专家来说是不寻常的。
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引用次数: 0
Geometry of the normal ruled surfaces 法向直纹曲面的几何学
Pub Date : 2021-12-30 DOI: 10.22363/1815-5235-2021-17-6-562-575
V. N. Ivanov
The wide circle of the surfaces formed by the motion of the right line in the normal plain of some base directrix curve is regarded. The generate right line may rotate at some low at the normal plane of the base curve. The vector equation of the surface with any plane or space base curve is received. There are given the formulas of the geometry characteristics of the surfaces, on the base of them there is shown that the coordinate system of the normal ruled surfaces is orthogonal but there is not conjugated in common, that is that the normal ruled surfaces there are not developable surfaces in common way. The condition of the rotation of directrix plane line when the coordinate system of the normal ruled surfaces will be conjugated and the normal ruled surface will be developable is received. The condition that the normal ruled surface with space base curve will be the developable surface there is connected with its curvature of base curve. The developable normal ruled surface with plane base curve is formed by motion of right line at the normal plane of the base curve with the constant angle to the plane of the base curve; the received surface is a surface of constant slope. On the base of the vector equation of the surfaces there are made the figures of the normal ruled surfaces with the help of program complex MathCAD.
考虑了在某一基准准线曲线的法线平面上,由右直线的运动所形成的曲面的宽圆。生成的右线可以在基准曲线的法线平面上以某个低点旋转。接收具有任何平面或空间基曲线的曲面的矢量方程。给出了曲面几何特性的计算公式,在此基础上,证明了法向直纹曲面的坐标系是正交的,但不存在共轭的公共坐标系,即法向直条纹曲面不存在公共的可展曲面。得到了直纹曲面坐标系共轭且直纹曲面可展时直纹平面线旋转的条件。具有空间基曲线的法向直纹曲面为其可展曲面的条件与其基曲线的曲率有关。具有平面基曲线的可展法向直纹曲面是由右直线在基曲线的法向平面上以与基曲线平面成恒定角度运动而形成的;所接收的表面是具有恒定斜率的表面。在曲面的矢量方程的基础上,借助复杂的MathCAD程序,制作了法向直纹曲面的图形。
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引用次数: 0
Numerical analysis of cylindrical shell stability interacting with inhomogeneous soil 非均匀土作用下圆柱壳稳定性的数值分析
Pub Date : 2021-12-30 DOI: 10.22363/1815-5235-2021-17-6-608-616
S. Kosytsyn, V. Akulich
The research is aimed at determining the critical buckling load of the spatial model shell - soil system in the case of inhomogeneous physical and mechanical soil properties along the longitudinal axis of the cylindrical shell in a nonlinear formulations of the task. Methods. The task is solved by a numerical method using a finite element complex ANSYS. Two calculated cases of the spatial model shell - soil system are compiled. The soil is divided into two equal parts with different physical and mechanical properties. The problem was solved in geometrically, physically and constructively nonlinear statement. Nonlinearity is due to the need to find the contact zone through an iterative process and determine the time-varying position of the shell. The soil is modeled by volumetric elements, each consisting of twenty nodes. The shell is modeled by flat elements, each consisting of four nodes. Contact elements of one-side action are used. Critical buckling load are determined relative to the actual load of its own weight. Results. Critical loads are obtained from two calculated cases of the spatial model shell - soil system. There is a comparative analysis of the results. An assessment of the stability margin of the shell relative to the actual load is given.
本研究的目的是确定在沿圆柱壳纵向轴向土体物理力学性质不均匀的情况下,在非线性任务公式中空间模型壳-土系统的临界屈曲载荷。方法。采用有限元软件ANSYS对该问题进行了数值求解。编制了两个壳土系统空间模型的计算实例。土壤被分成两个相等的部分,具有不同的物理和机械性质。用几何非线性、物理非线性和构造非线性的表述来解决问题。非线性是由于需要通过迭代过程找到接触区并确定壳的时变位置。土壤由体积元素建模,每个元素由20个节点组成。外壳由平面元素建模,每个平面元素由四个节点组成。采用单侧动作接触元件。临界屈曲载荷是相对于自身重量的实际载荷确定的。结果。通过两个空间模型壳-土系统的计算得到了临界荷载。对结果进行了比较分析。给出了壳体相对于实际载荷的稳定裕度的评估。
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引用次数: 2
Influence of constructive solutions on the stiffness characteristics of the rammed monolithic reinforced concrete cone-shaped piles with side and bottom forms from crushed stones 施工方案对侧底式碎石夯实钢筋混凝土整体锥桩刚度特性的影响
Pub Date : 2021-12-30 DOI: 10.22363/1815-5235-2021-17-5-500-518
E. Kuzhakhmetova
Relevance. The article discusses the design solutions of a new pile structure, which is a monolithic reinforced concrete cone-shaped pile, enclosed in a crushed stone shell and resting on a spherical crushed stone broadening. In the course of a numerical study, carried out using the finite element method, the influence of the geometric parameters of the crushed stone formations of the pile foundation, such as the wall thickness of the crushed stone shell and the radius of the crushed stone broadening, on its bearing capacity was revealed. The aim of the study is to perform a comparative numerical analysis of the stressstrain state of a pile structure with different design solutions, operating as part of a soil massif. Materials and methods. Numerical static analysis of the structure of a monolithic reinforced concrete pile foundation operating in a soil massif was carried out using a spatial finite element model in the CAE-class software package. The article presents the results of a numerical analysis of the stress-strain state of a rammed monolithic reinforced concrete cone-shaped pile with different wall thicknesses of the crushed stone shell and different diameters of the lower spherical crushed stone broadening. The analysis showed that changes in the specified geometric parameters of the pile foundation have a significant impact on its bearing capacity under external forces. The rational choice of these parameters allows you to economically use the concrete mixture and reinforcing rods intended for the manufacture of monolithic reinforced concrete rammed piles, which, in turn, leads to a decrease in financial costs for the manufacture of the pile foundation and the entire building as a whole. The next research is supposed to carry out a comparative analysis of the numerical results with experimental data obtained in laboratory and field conditions.
关联本文讨论了一种新型桩结构的设计方案,该结构是一个整体式钢筋混凝土锥形桩,封闭在碎石外壳中,并放置在球形碎石加宽上。在有限元数值研究过程中,揭示了桩基碎石层的几何参数,如碎石壳的壁厚和碎石加宽的半径,对其承载力的影响。本研究的目的是对作为土体一部分的桩结构在不同设计方案下的应力应变状态进行比较数值分析。材料和方法。利用CAE类软件包中的空间有限元模型,对土体中整体式钢筋混凝土桩基结构进行了数值静力分析。本文给出了不同碎石壳壁厚和不同下球形碎石加宽直径的钢筋混凝土圆锥桩的应力-应变状态的数值分析结果。分析表明,桩基特定几何参数的变化对其在外力作用下的承载力有显著影响。这些参数的合理选择使您能够经济地使用用于制造整体钢筋混凝土夯实桩的混凝土混合物和钢筋,这反过来又降低了桩基和整个建筑制造的财务成本。下一步的研究应该将数值结果与实验室和现场条件下获得的实验数据进行比较分析。
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引用次数: 1
Investigation of the accuracy and convergence of the results of thin shells analysis using the PRINS program 用PRINS程序研究薄壳分析结果的准确性和收敛性
Pub Date : 2021-12-30 DOI: 10.22363/1815-5235-2021-17-6-617-627
V. Agapov, A. S. Markovich
The theoretical foundations of compatible finite elements construction for static and dynamic analysis of single-layer and multilayer shells are discussed. These finite elements are implemented in the PRINS computer program. The paper presents verification tests to investigate the accuracy and convergence of the results of calculating various shells using these finite elements. Shell structures are widely used in various fields of technology - construction, mechanical engineering, aircraft construction, shipbuilding, etc. Specialists on the design and calculation of such structures need a reliable and accessible tool for the practical problems solving. Computer program PRINS can be one of such tools. It can be effectively used by engineers of design and scientific organizations to solve a wide class of engineering problems related to the calculations of shell structures. The paper describes the finite elements of the shells, implemented in the PRINS program. The results of verification calculations are presented, which confirm the high accuracy of this program.
讨论了单层和多层壳体静动力分析兼容有限元结构的理论基础。这些有限元是在PRINS计算机程序中实现的。本文通过验证试验来研究使用这些有限元计算各种壳体的结果的准确性和收敛性。壳体结构广泛应用于建筑、机械工程、飞机制造、造船等各个技术领域。此类结构的设计和计算专家需要一种可靠且易用的工具来解决实际问题。计算机程序PRINS可以是这样的工具之一。它可以被设计工程师和科学组织有效地用于解决与壳体结构计算相关的一系列工程问题。本文描述了在PRINS程序中实现的壳体的有限元。给出了验证计算结果,验证了该程序的高精度。
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引用次数: 1
Shell structures and shells at the beginning of the 21st century 21世纪初的壳体结构和壳体
Pub Date : 2021-12-30 DOI: 10.22363/1815-5235-2021-17-6-553-561
S. Krivoshapko
Researchers know that golden century of shells falls on 1920-1960 when the finishing of building of a thin-walled shell became an important event in life of country where this shell was erected. Every built shell was analyzed in tens of scientific works with a point of view of used method of analysis, applied constructive materials, cost of erection. Later on, an interest to thin-walled shells fell down. On the base of the fulfilled research in a paper, it is shown that application of shell structures is increasing in the 21st century because it was closely connected with needs of different branches of human activity. It is proved, that practically in all countries of the world, design and building of shell structures and shells was carried out. Only priority in application constructive materials changed. In the main, reinforced concrete was used earlier but now bar curvilinear structures, composite shells, and bar structures with the glass filling are in priority. It is shown that young and prominent architects and engineers tale part in construction of considered structures and thin-walled shells. All conclusions are confirmed by references containing 38 used original sources.
研究人员知道,炮弹的黄金世纪落在1920-1960年,当时薄壁炮弹的建造完成成为该炮弹建造国生活中的一件重要事件。在数十项科学工作中,从所用分析方法、所用建筑材料、安装成本等角度对每一个已建成的壳体进行了分析。后来,人们对薄壁壳的兴趣下降了。在本文研究成果的基础上,壳体结构在21世纪的应用越来越多,因为它与人类活动的不同分支的需求密切相关。实践证明,在世界各国都进行了壳体结构和壳体的设计和建造。只有申请建设性材料的优先权发生了变化。一般来说,钢筋混凝土早期使用,但现在钢筋曲线结构、复合壳体和玻璃填充的钢筋结构优先使用。研究表明,年轻而杰出的建筑师和工程师参与了考虑结构和薄壁壳体的施工。所有结论都得到了包含38个使用过的原始来源的参考文献的证实。
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引用次数: 6
期刊
Structural Mechanics of Engineering Constructions and Buildings
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